It is not uncommon in multiple criteria decision-making that the numerical values of alternatives of some criteria are subject to imprecision, uncertainty and indetermination and the information on weights of criteria...It is not uncommon in multiple criteria decision-making that the numerical values of alternatives of some criteria are subject to imprecision, uncertainty and indetermination and the information on weights of criteria is incomplete certain. A new multiple criteria decision- making method with incomplete certain information based on ternary AHP is proposed. This improves on Takeda＇s method. In this method, the ternary comparison matrix of the alternatives under each pseudo-criteria is constructed, the eigenvector associated with the maximum eigenvalue of the ternary comparison matrix is attained as to normalize priority vector of the alternatives, then the order of alternatives is obtained by solving two kinds of linear programming problems. Finally, an example is given to show the feasibility and effectiveness of the method.展开更多
粮食生产服务与土壤保持服务的供给矛盾是制约怒江流域可持续发展的一大阻碍。以流域中心的施甸县为例,使用均方根偏差(Root Mean Square Error, RMSE)方法评估了2000—2020年粮食生产和土壤保持服务权衡强度的空间特征变化。然后将202...粮食生产服务与土壤保持服务的供给矛盾是制约怒江流域可持续发展的一大阻碍。以流域中心的施甸县为例,使用均方根偏差(Root Mean Square Error, RMSE)方法评估了2000—2020年粮食生产和土壤保持服务权衡强度的空间特征变化。然后将2020年作为基准年,以坡耕地生态恢复作为决策变量,使用多目标线性规划提取了高生态恢复优先的区域,进而识别了权衡强度与恢复潜力的空间分布异同。研究结果表明,(1)两项生态系统服务权衡的空间分异明显,研究期间权衡强度呈增加趋势,RMSE平均值由2000年的0.466增加至2020年的0.499;高权衡强度区域主要集中在研究区的低海拔坝区,而低权衡强度区域分布零散,且高/低权衡强度区域在空间上都表现出聚集的特征。(2)根据线性规划绘制的效率前沿曲线,在土壤保持服务收益达到13.35×10^(6)t hm^(-2)a^(-1)时需要转出3388.51hm^(2)坡耕地,同时粮食生产服务损失达9.59×10^(6)kg,而继续提升会显著增加成本。(3)各权衡强度等级坡耕地的生态恢复潜力为:中权衡>低权衡>高权衡,其中权衡强度在0.4—0.5区间的坡耕地最适宜进行生态恢复。这一研究结果可以为山地区域坡耕地利用模式提供参考,推进可持续发展目标的实现。展开更多
文摘It is not uncommon in multiple criteria decision-making that the numerical values of alternatives of some criteria are subject to imprecision, uncertainty and indetermination and the information on weights of criteria is incomplete certain. A new multiple criteria decision- making method with incomplete certain information based on ternary AHP is proposed. This improves on Takeda＇s method. In this method, the ternary comparison matrix of the alternatives under each pseudo-criteria is constructed, the eigenvector associated with the maximum eigenvalue of the ternary comparison matrix is attained as to normalize priority vector of the alternatives, then the order of alternatives is obtained by solving two kinds of linear programming problems. Finally, an example is given to show the feasibility and effectiveness of the method.
